Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712t |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-276576768 = -1 · 29 · 37 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,696] |
[a1,a2,a3,a4,a6] |
Generators |
[10:54:1] |
Generators of the group modulo torsion |
j |
300763000/540189 |
j-invariant |
L |
6.9498342140079 |
L(r)(E,1)/r! |
Ω |
1.1934996516276 |
Real period |
R |
0.41593370295084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23712e1 47424d1 71136p1 |
Quadratic twists by: -4 8 -3 |